111949164 has 72 divisors (see below), whose sum is σ = 295036560. Its totient is φ = 35747712.

The previous prime is 111949163. The next prime is 111949177. The reversal of 111949164 is 461949111.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (111949163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163567 + ... + 164249.

It is an arithmetic number, because the mean of its divisors is an integer number (4097730).

Almost surely, 2^111949164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111949164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147518280).

111949164 is an abundant number, since it is smaller than the sum of its proper divisors (183087396).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111949164 is a wasteful number, since it uses less digits than its factorization.

111949164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 874 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 111949164 is about 10580.6031964156. The cubic root of 111949164 is about 481.9555120409.

The spelling of 111949164 in words is "one hundred eleven million, nine hundred forty-nine thousand, one hundred sixty-four".